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Finding the Fourth Proportional to 830.32, 1,144.62 and 580.86

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Solution

The fourth proportional to 830.32, 1,144.62 and 580.86 is: 800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.32 : 1,144.62 = 580.86 : x
  2. Step 2: Convert to fraction form
    830.32/1,144.62 = 580.86/x
  3. Step 3: Cross multiply
    830.32x = 1,144.62 × 580.86
  4. Step 4: Simplify right side
    830.32x = 664,863.97
  5. Step 5: Solve for x
    x = 664,863.97/830.32
  6. Step 6: Final answer
    x = 800.73

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.